431(4): Conditions in m theory under which p enters the Ni nucleus

This note shows that the condition is Eq (12), discussed in detail by Horst in UFT417 and UFT430. The attractive force (1) of m theory is entirely new to physics and is as ubiquitous as the rest energy for example. For a rest particle it is given by Eq. (6). It is a force of generally covariant unified field theory (m theory) and does not exist in special relativity or classical physics. It exists in static nickel nuclei surrounded by static p nuclei in a hydrogen gas. So the low energy nuclear reaction can take place without the need to accelerate the protons as in the Cockroft Walton experiment of 1932 (which used 750,000 volts to accelerate p into lithium and break it into two alpha particles, then newly discovered by Rutherford). Once the proton enters the nickel nucleus it becomes unstable and transmutes to copper and other products. A huge amount of energy is released, as described by Eq. (17), even though the initial nickel and proton nuclei are rest particles, or very slowly moving. All forms of energy are interconvertible, so the energy manifests itself as heat and very intense emission radiation in the visible and ultra violet but not in the gamma ray region. This is the well known emission spectrum of nickel vapour, the nickel having been vapourized due to the emitted heat. So LENR is safe and has been given its industry safety certificate for industrial units. Obviously it is safe, otherwise all workers who have observed LENR would have been severely damaged by gamma rays. Exactly the right mixture of nickel and hydrogen is needed to produce condition (12). The latter is obtained from comparing the Euler Lagrange theory and Hamilton theory in m space as in UFT427. So m theory describes all aspects of low energy nuclear reactions straightforwardly. In nuclear theory the force (1) can now replace the empirical Woods Saxon potential used in UFT226 to UFT230 and ultimately replace the standard model of the nucleus and elementary particles by a much simpler and more powerful theory.